A Parallel Schwarz Method for a Convection-Diffusion Problem

DOI10.1137/S1064827598335854zbMath0971.35007MaRDI QIDQ4509863

Yuri A. Kuznetsov, Marc Garbey, Yuri V. Vassilevski

Publication date: 19 October 2000

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

maximum principleoverlapping domain decompositiondamping factorupwind finite differencesupwind and crosswind error propagation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Boundary value problems for higher-order elliptic equations (35J40) Theoretical approximation in context of PDEs (35A35) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (12)

Convergence of Three-Step Taylor Galerkin Finite Element Scheme Based Monotone Schwarz Iterative Method for Singularly Perturbed Differential-Difference Equation ⋮ A monotone Schwarz algorithm for a semilinear convection–diffusion problem ⋮ A finite element domain decomposition approximation for a semilinear parabolic singularly perturbed differential equation ⋮ Error identities for the reaction-convection-diffusion problem and applications to a posteriori error control ⋮ On an uniform multidomain decomposition method applied to a singularly perturbed problem with regular boundary layers. ⋮ A finite element solver and energy stable coupling for 3D and 1D fluid models ⋮ A domain decomposition Taylor Galerkin finite element approximation of a parabolic singularly perturbed differential equation ⋮ The solution of a semilinear evolutionary convection-diffusion problem by a monotone domain decomposition algorithm ⋮ A block monotone domain decomposition algorithm for a semilinear convection--diffusion problem ⋮ Monotone Schwarz iterates for a semilinear parabolic convection--diffusion problem ⋮ Iterative domain decomposition algorithms for a convection-diffusion problem ⋮ Schwarz alternating algorithms for a convection-diffusion problem

Uses Software

• FEATFLOW

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